US7038119B2 - Dynamic control of processing load in a wavetable synthesizer - Google Patents
Dynamic control of processing load in a wavetable synthesizer Download PDFInfo
- Publication number
- US7038119B2 US7038119B2 US10/621,459 US62145903A US7038119B2 US 7038119 B2 US7038119 B2 US 7038119B2 US 62145903 A US62145903 A US 62145903A US 7038119 B2 US7038119 B2 US 7038119B2
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- interpolation
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- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10H—ELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
- G10H7/00—Instruments in which the tones are synthesised from a data store, e.g. computer organs
- G10H7/002—Instruments in which the tones are synthesised from a data store, e.g. computer organs using a common processing for different operations or calculations, and a set of microinstructions, e.g. programs, to control the sequence thereof
- G10H7/006—Instruments in which the tones are synthesised from a data store, e.g. computer organs using a common processing for different operations or calculations, and a set of microinstructions, e.g. programs, to control the sequence thereof using two or more algorithms of different types to generate tones, e.g. according to tone color or to processor workload
-
- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10H—ELECTROPHONIC MUSICAL INSTRUMENTS; INSTRUMENTS IN WHICH THE TONES ARE GENERATED BY ELECTROMECHANICAL MEANS OR ELECTRONIC GENERATORS, OR IN WHICH THE TONES ARE SYNTHESISED FROM A DATA STORE
- G10H2230/00—General physical, ergonomic or hardware implementation of electrophonic musical tools or instruments, e.g. shape or architecture
- G10H2230/025—Computing or signal processing architecture features
- G10H2230/041—Processor load management, i.e. adaptation or optimization of computational load or data throughput in computationally intensive musical processes to avoid overload artifacts, e.g. by deliberately suppressing less audible or less relevant tones or decreasing their complexity
Definitions
- the present invention relates to the generation of sounds by means of a wavetable synthesizer, and more particularly to the control of the processing load imposed by a wavetable synthesizer.
- analog music synthesizers were constrained to using a variety of modular elements. These modular elements included oscillators, filters, multipliers and adders, all interconnected with telephone style patch cords. Before a musically useful sound could be produced, analog synthesizers had to be programmed by first establishing an interconnection between the desired modular elements and then laboriously adjusting the parameters of the modules by trial and error. Because the modules used in these synthesizers tended to drift with temperature change, it was difficult to store parameters and faithfully reproduce sounds from one time to another time.
- VLSI Very Large Scale Integration
- DSP digital signal processing
- the wavetable synthesizer is a sampling synthesizer in which one or more real musical instruments are “sampled,” by recording and digitizing a sound produced by the instrument(s), and storing the digitized sound into a memory.
- the memory of a wavetable synthesizer includes a lookup table in which the digitized sounds are stored as digitized waveforms. Sounds are generated by “playing back” from the wavetable memory, to a digital-to-analog converter (DAC), a particular digitized waveform.
- DAC digital-to-analog converter
- sampling synthesizer The basic operation of a sampling synthesizer is to playback digitized recordings of entire musical instrument notes under the control of a person, computer or some other means. Playback of a note can be triggered by depressing a key on a musical keyboard, from a computer, or from some other controlling device.
- a standard control language such as the Musical Instrument Digital Interface (MIDI)
- MIDI Musical Instrument Digital Interface
- Data representing a sound in a wavetable memory may be created using an analog-to-digital converter (ADC) to sample, quantize and digitize the original sound at a successive regular time interval (i.e., the sampling interval, TS).
- ADC analog-to-digital converter
- TS sampling interval
- a looped sample is a short segment of a wavetable waveform stored in the wavetable memory that is repetitively accessed (e.g., from beginning to end) during playback. Looping is particularly useful for playing back an original sound or sound segment having a fairly constant spectral content and amplitude.
- a simple example of this is a memory that stores one period of a sine wave such that the endpoints of the loop segment are compatible (i.e., at the endpoints the amplitude and slope of the waveform match to avoid a repetitive “glitch” that would otherwise be heard during a looped playback of an unmatched segment).
- a sustained note may be produced by looping the single period of a waveform for the desired length of duration time (e.g., by depressing the key for the desired length, programming a desired duration time, etc.).
- the length of a looped segment would include many periods with respect to the fundamental pitch of the instrument sound. This avoids the “periodicity” effect of a looped single period waveform that is easily detectable by the human ear, and improves the perceived quality of the sound (e.g., the “evolution” or “animation” of the sound).
- the sounds of many instruments can be modeled as consisting of two major sections: the “attack” (or onset) section and the “sustain” section.
- the attack section is the initial part of a sound, wherein amplitude and spectral characteristics of the sound may be rapidly changing.
- the onset of a note may include a pick snapping a guitar string, the chiff of wind at the start of a flute note, or a hammer striking the strings of a piano.
- the sustain section of the sound is that part of the sound following the attack, wherein the characteristics of the sound are changing less dynamically.
- a great deal of memory is saved in wavetable synthesis systems by storing only a short segment of the sustain section of a waveform, and then looping this segment during playback.
- Amplitude changes that are characteristic of a particular or desired sound may be added to a synthesized waveform signal by multiplying the signal with a decreasing gain factor or a time varying envelope function.
- signal amplitude variation naturally occurs via decay at different rates in various sections of the sound.
- a period of decay may occur shortly after the initial attack section.
- a period of decay after a note is “released” may occur after the sound is terminated (e.g., after release of a depressed key of a music keyboard).
- the spectral characteristics of the acoustic sound signal may remain fairly constant during the sustain section of the sound, however, the amplitude of the sustain section also may (or may not) decay slowly.
- the forgoing describes a traditional approach to modeling a musical sound called the Attack-Decay-Sustain-Release (ADSR) model, in which a waveform is multiplied with a piecewise linear envelope function to simulate amplitude variations in the original sounds.
- ADSR Attack-Decay-Sustain-Release
- wavetable synthesis systems have utilized pitch shifting, or pitch transposition techniques, to generate a number of different notes from a single sound sample of a given instrument.
- pitch shifting or pitch transposition techniques
- Two types of methods are mainly used in pitch shifting: asynchronous pitch shifting and synchronous pitch shifting.
- asynchronous pitch shifting In asynchronous pitch shifting, the clock rate of each of the DAC converters used to reproduce a digitized waveform is changed to vary the waveform frequency, and hence its pitch.
- each channel of the system In systems using asynchronous pitch shifting, each channel of the system is required to have a separate DAC. Each of these DACs has its own clock whose rate is determined by the requested frequency for that channel. This method of pitch shifting is considered asynchronous because each output DAC runs at a different clock rate to generate different pitches.
- Asynchronous pitch shifting has the advantages of simplified circuit design and minimal pitch shifting artifacts (as long as the analog reconstruction filter is of high quality).
- asynchronous pitch shifting methods have several drawbacks. First, a DAC would be needed for each channel, which increases system cost with increasing channel count. Another drawback of asynchronous pitch shifting is the inability to mix multiple channels for further digital post processing such as reverberation.
- Asynchronous pitch shifting also requires the use of complex and expensive tracking reconstruction filters-one for each channel-to track
- the pitch of the wavetable playback data is changed using sample rate conversion algorithms.
- sample rate conversion algorithms accomplish sample rate conversion essentially by generating, from the stored sample points, a different number of sample points which, when accessed at a standard clock rate, generate the desired pitch during playback. For example, if sample memory accesses occur at a fixed rate, and if a pointer is used to address the sample memory for a sound, and the pointer is incremented by one after each access, then the samples for this sound would be accessed sequentially, resulting in some particular pitch.
- sample points e.g., one or more zero values
- the resultant sample points, x down [n] are played back at the original sampling rate, the pitch will have been shifted downward.
- the sample memory address pointer would consist of an integer part and a fractional part, and thus the increment value could be a fractional number of samples.
- the memory pointer is often referred to as a “phase accumulator” and the increment value is called the “phase increment.”
- the integer part of the phase accumulator is used to address the sample memory and the fractional part is used to maintain frequency accuracy.
- a sub-optimal interpolation generates distortion (artifacts) due to a portion of the signal being folded back at the Nyquist frequency F s /2 (F s being the sampling rate used when the table sequence was recorded). This distortion is perceived as annoying and has to be controlled.
- the interpolation degree defined as the number of wavetable samples used in the interpolation, is a parameter that sets the performance of the synthesizer. The higher the degree that is used, the lower the distortion present in the generated signal.
- a high interpolation degree costs complexity. For example, the computational complexity using the traditional truncated sin(x)/x interpolation algorithm grows linearly with the interpolation degree. Synthesizers presently available commonly use interpolation degrees on the order of ten, since this results in a good trade-off between complexity and sound quality.
- Low-end systems may require, for example, at least 24 voices, and a high performance synthesizer for musicians may require the capability of generating up to 128 simultaneous voices.
- Voice generation is often implemented in a synthesizer using one or several central processing units (CPUs).
- CPUs central processing units
- the computational power of the CPU imposes a limit on the number of voices that can be executed.
- the computational power required for maintaining a sufficient interpolation degree is lacking if, at the same time, it is desired to provide a high level of polyphony. For example, it is difficult to implement levels of polyphony as high as 40 voices or more, using an interpolation degree around ten, without the use of dedicated hardware accelerators.
- the computational load on the CPU varies greatly during the execution of a MIDI song.
- the word “song” is used generically to refer not only to music in the traditional sense, but also to any sounds that can be encoded for automated reproduction by means of a control language such as MIDI.
- a wavetable synthesizer is controlled by dynamically determining a present CPU loading estimate associated with a song being played by the wavetable synthesizer. An interpolation degree is determined based on the present CPU loading estimate, and the wavetable synthesizer is adjusted to utilize the interpolation degree when playing the song.
- determining the interpolation degree based on the present CPU load estimate comprises comparing the present CPU loading estimate with a predefined permissible maximum CPU load limit and determining the interpolation degree based on the comparison. In some embodiments, determining the interpolation degree based on the comparison comprises determining the interpolation degree, based on the comparison, so as to provide a best quality of song synthesis without exceeding the predefined permissible maximum CPU load limit.
- determining the interpolation degree based on the comparison comprises halting song synthesis, based on the comparison, in order to avoid song synthesis at a quality that is below a predetermined threshold.
- the quality of song synthesis is increased (e.g., by adjusting the interpolation degree to a higher value) when the present CPU loading estimate is reduced.
- the quality of song synthesis may be reduced (e.g., by adjusting the interpolation degree to a lower value) when the present CPU loading estimate is increased.
- dynamically determining the present CPU loading estimate associated with the song being played by the wavetable synthesizer can comprise, while playing the song, detecting that a new voice has been set active; determining an additional CPU load value that corresponds to the new voice; and adding the additional CPU load value to an accumulated CPU loading estimate that represents the present CPU loading estimate.
- dynamically determining the present CPU loading estimate associated with the song being played by the wavetable synthesizer can comprise, while playing the song, detecting that an existing voice has been newly deactivated; determining a CPU load value that corresponds to the newly deactivated voice; and subtracting the corresponding CPU load value from an accumulated CPU loading estimate that represents the present CPU loading estimate.
- FIG. 1 is a flow chart of an automated process in accordance with an aspect of the invention.
- FIG. 2 is a flow chart of an automated CPU loading estimation technique in accordance with an aspect of the invention.
- the invention can additionally be considered to be embodied entirely within any form of computer readable carrier, such as solid-state memory, magnetic disk, optical disk or carrier wave (such as radio frequency, audio frequency or optical frequency carrier waves) containing an appropriate set of computer instructions that would cause a processor to carry out the techniques described herein.
- computer readable carrier such as solid-state memory, magnetic disk, optical disk or carrier wave (such as radio frequency, audio frequency or optical frequency carrier waves) containing an appropriate set of computer instructions that would cause a processor to carry out the techniques described herein.
- any such form of embodiments may be referred to herein as “logic configured to” perform a described action, or alternatively as “logic that” performs a described action.
- one or more of the earlier-mentioned problems are addressed by providing methods and apparatuses that dynamically control interpolation complexity of the wavetable synthesizer.
- a maximum amount of available CPU loading is defined (i.e., available for use by the wavetable synthesizer).
- the CPU loading can, for example, be specified in MIPS, although this is not essential to the invention.
- the interpolation degree is dynamically changed in response to the complexity of the portion of the song being decoded. In this way, the actual CPU loading imposed by the wavetable synthesizer is made to stay below the defined maximum amount of available CPU loading.
- the number of voices that are presently to be simultaneously executed is taken as the measure of complexity of the portion of the song being decoded. It will be recognized, however, that in alternative embodiments, other indicia could be used to detect present song complexity.
- FIG. 1 is a flow chart of an embodiment of the invention.
- the wavetable synthesizer's interpolation degree is set so as to provide a desired quality (e.g., a best quality) without exceeding the maximum permissible CPU load (step 103 ).
- the song is played (step 105 ).
- the strategy adopted in this process is as follows: When being scheduled to decode a less complex content, the interpolator algorithm will be set to run a higher interpolation degree, and thus a higher amount of CPU loading (e.g., a higher MIPS number), in order to perform a higher quality output. Conversely, when being scheduled to decode a more complex content, the interpolator algorithm is set to run a lower interpolation degree, and thus a lower CPU loading (e.g., a lower MIPS number), in order to make sure that processing stays below the maximum permissible CPU load limit.
- This strategy makes the synthesizer run a more constant amount of CPU loading, and therefore makes the decision algorithm act as a dynamic CPU load limiter.
- the present level of song complexity is monitored. If the present song complexity increases (“YES” path out of decision block 107 ), then it is determined whether this increase will result in the permissible maximum CPU load limit being exceeded (decision block 108 ). If it will, then the interpolation degree is lowered so as to continue to provide a desired (e.g., best) quality without exceeding the maximum permissible CPU load limit (step 109 ). The song then continues to be played (return to step 105 ). If the increased song complexity will not result in exceeding the maximum permissible CPU load limit (“NO” path out of decision block 108 ), then the song simply continues to be played (return to step 105 ).
- the present song complexity has not increased (“NO” path out of decision block 107 ) but it is detected that the present song complexity has decreased (“YES” path out of decision block 111 ), then it is determined whether this decrease in complexity will permit the interpolation degree to be increased without exceeding the permissible maximum CPU load limit (decision block 112 ). If the answer is “yes” (“YES” path out of decision block 112 ), then the interpolation degree is increased so as to continue to provide a desired (e.g., best) quality without exceeding the maximum permissible CPU load limit (step 113 ). The song then continues to be played (return to step 105 ). If the interpolation degree cannot be increased without exceeding the permissible maximum CPU load limit (“NO” path out of decision block 112 ), then the song simply continues to be played (return to step 105 ).
- masking property There are two kinds of masking effects: temporal masking and frequency masking. Both masking effects make any distortion that is adjacent (in time or in frequency) to a distinct and more powerful signal less perceptible (if not entirely imperceptible).
- the masking threshold for interpolation distortion also increases, thereby making it possible to allow a lower degree in the interpolation algorithm in the synthesizer without jeopardizing the audio quality.
- a song may have a dynamically varying level of polyphony.
- the estimated CPU loading at the highest interpolation degree (which is interpolation degree 11 in our example) will vary as well.
- the assumed pre-defined maximum permissible CPU loading limit of 100 MIPS the following table can be derived, which shows which interpolation selection is best for given conditions:
- a 7-point interpolation degree would have been used when generating music requiring a 150 MIPS level of CPU load at the normal 11-point interpolation.
- the interpolation degree would have decreased without audibly increasing artifacts/distortion.
- the computational load in this example will never exceed the desired MIPS limit. It will be noted that if even selection of the simple linear interpolation method would cause the synthesizer to exceed the maximum permissible CPU loading limit, then the decision is made not to execute at all in order to avoid overloading the CPU. In alternative embodiments, even if selection of some of the lowest interpolation degrees will not cause the synthesizer to exceed the maximum permissible CPU loading limit, it may nonetheless be decided not to execute at all if the audio quality is perceived to become annoying at these levels.
- CPU_LOADING_ESTIMATE an accumulating estimate
- the accumulating estimate is only updated whenever a synthesizer voice is activated or deactivated, since in practice this is the only time the estimate will change.
- CPU_LOADING_ESTIMATE is initially set equal to zero (step 201 ) since at the beginning of the song there are no voices active. The song is then played (step 203 ).
- step 213 the corresponding CPU load associated with the newly deactivated voice is determined (step 213 ) and then subtracted from the existing accumulated CPU loading estimate (step 215 ). Playing of the song then continues as before (return to step 203 ).
- the CPU loading estimates will likely be less often updated, and will likely result in fewer CPU cycles being used for the estimation method.
- the invention thus provides an intelligent approach that limits the computational load in a wavetable-based synthesizer without lowering the perceived sound quality. It also provides means for accurately controlling the maximum load that the synthesizer imposes on the CPU. This is of vital importance in systems such as mobile terminals (e.g., cellular telephones) that have only limited available processing power, and yet which may find it desirable to provide a high level of polyphony (e.g., up to 40 simultaneous voices for producing polyphonic ring signals).
- mobile terminals e.g., cellular telephones
- polyphony e.g., up to 40 simultaneous voices for producing polyphonic ring signals.
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Acoustics & Sound (AREA)
- Multimedia (AREA)
- Electrophonic Musical Instruments (AREA)
Priority Applications (5)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US10/621,459 US7038119B2 (en) | 2003-07-18 | 2003-07-18 | Dynamic control of processing load in a wavetable synthesizer |
| DE602004005213T DE602004005213D1 (de) | 2003-07-18 | 2004-06-21 | Dynamische regelung der verarbeitungslast in einem wavetable-synthesizer |
| AT04740109T ATE356402T1 (de) | 2003-07-18 | 2004-06-21 | Dynamische regelung der verarbeitungslast in einem wavetable-synthesizer |
| EP04740109A EP1654725B1 (de) | 2003-07-18 | 2004-06-21 | Dynamische regelung der verarbeitungslast in einem wavetable-synthesizer |
| PCT/EP2004/006669 WO2005015537A1 (en) | 2003-07-18 | 2004-06-21 | Dynamic control of processing load in a wavetable synthesizer |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US10/621,459 US7038119B2 (en) | 2003-07-18 | 2003-07-18 | Dynamic control of processing load in a wavetable synthesizer |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| US20050011341A1 US20050011341A1 (en) | 2005-01-20 |
| US7038119B2 true US7038119B2 (en) | 2006-05-02 |
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| US10/621,459 Expired - Fee Related US7038119B2 (en) | 2003-07-18 | 2003-07-18 | Dynamic control of processing load in a wavetable synthesizer |
Country Status (5)
| Country | Link |
|---|---|
| US (1) | US7038119B2 (de) |
| EP (1) | EP1654725B1 (de) |
| AT (1) | ATE356402T1 (de) |
| DE (1) | DE602004005213D1 (de) |
| WO (1) | WO2005015537A1 (de) |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20040231497A1 (en) * | 2003-05-23 | 2004-11-25 | Mediatek Inc. | Wavetable audio synthesis system |
| US20050098022A1 (en) * | 2003-11-07 | 2005-05-12 | Eric Shank | Hand-held music-creation device |
| US20070017348A1 (en) * | 2005-07-19 | 2007-01-25 | Casio Computer Co., Ltd. | Waveform data interpolation device and waveform data interpolation program |
| US20080229913A1 (en) * | 2007-03-22 | 2008-09-25 | Qualcomm Incorporated | Bandwidth control for retrieval of reference waveforms in an audio device |
| US20090151543A1 (en) * | 2007-12-14 | 2009-06-18 | Casio Computer Co., Ltd. | Musical sound generating device and storage medium storing musical sound generation processing program |
Families Citing this family (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| TWI252468B (en) * | 2004-02-13 | 2006-04-01 | Mediatek Inc | Wavetable synthesis system with memory management according to data importance and method of the same |
| US20060282261A1 (en) * | 2005-06-13 | 2006-12-14 | Andrej Petef | Sample rate control in pitching audio systems |
| JP2007163845A (ja) * | 2005-12-14 | 2007-06-28 | Oki Electric Ind Co Ltd | 音源システム |
| US8762561B2 (en) * | 2008-07-23 | 2014-06-24 | Qualcomm Incorporated | System, method or apparatus for combining multiple streams of media data |
| US9251254B2 (en) * | 2012-12-21 | 2016-02-02 | Qualcomm Incorporated | Controlling the execution speed of a processor in an audio processing system |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5808221A (en) * | 1995-10-03 | 1998-09-15 | International Business Machines Corporation | Software-based and hardware-based hybrid synthesizer |
| US5850049A (en) * | 1995-12-21 | 1998-12-15 | Yamaha Corporation | Musical tone-generating method and apparatus using data interpolation |
| EP0951009A1 (de) | 1995-06-06 | 1999-10-20 | Yamaha Corporation | Durch Rechner gesteuertes Musiksystem mit Programmen und Schaltungen als Tonerzeuger |
| EP1087372A2 (de) | 1996-08-30 | 2001-03-28 | Yamaha Corporation | Auf Software basiertes Tonquellensystem und Verfahren zur Erzeugung von akustischen Wellenformdaten |
| EP1109149A2 (de) | 1994-12-02 | 2001-06-20 | Sony Computer Entertainment Inc. | Vorrichtung zur Steuerung einer Tonquelle |
-
2003
- 2003-07-18 US US10/621,459 patent/US7038119B2/en not_active Expired - Fee Related
-
2004
- 2004-06-21 EP EP04740109A patent/EP1654725B1/de not_active Expired - Lifetime
- 2004-06-21 DE DE602004005213T patent/DE602004005213D1/de not_active Expired - Lifetime
- 2004-06-21 WO PCT/EP2004/006669 patent/WO2005015537A1/en not_active Ceased
- 2004-06-21 AT AT04740109T patent/ATE356402T1/de not_active IP Right Cessation
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP1109149A2 (de) | 1994-12-02 | 2001-06-20 | Sony Computer Entertainment Inc. | Vorrichtung zur Steuerung einer Tonquelle |
| EP0951009A1 (de) | 1995-06-06 | 1999-10-20 | Yamaha Corporation | Durch Rechner gesteuertes Musiksystem mit Programmen und Schaltungen als Tonerzeuger |
| US5808221A (en) * | 1995-10-03 | 1998-09-15 | International Business Machines Corporation | Software-based and hardware-based hybrid synthesizer |
| US5850049A (en) * | 1995-12-21 | 1998-12-15 | Yamaha Corporation | Musical tone-generating method and apparatus using data interpolation |
| EP1087372A2 (de) | 1996-08-30 | 2001-03-28 | Yamaha Corporation | Auf Software basiertes Tonquellensystem und Verfahren zur Erzeugung von akustischen Wellenformdaten |
Non-Patent Citations (2)
| Title |
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| PCT International Search Report dated Dec. 10, 2004 in connection with International Application No. PCT/EP2004/006669. |
| PCT Written Opinion dated Dec. 10, 2004 in connection with International Application No. PCT/EP2004/006669. |
Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20040231497A1 (en) * | 2003-05-23 | 2004-11-25 | Mediatek Inc. | Wavetable audio synthesis system |
| US7332668B2 (en) * | 2003-05-23 | 2008-02-19 | Mediatek Inc. | Wavetable audio synthesis system |
| US20050098022A1 (en) * | 2003-11-07 | 2005-05-12 | Eric Shank | Hand-held music-creation device |
| US20070017348A1 (en) * | 2005-07-19 | 2007-01-25 | Casio Computer Co., Ltd. | Waveform data interpolation device and waveform data interpolation program |
| US7390953B2 (en) * | 2005-07-19 | 2008-06-24 | Casio Computer Co, Ltd. | Waveform data interpolation device and waveform data interpolation program |
| US20080229913A1 (en) * | 2007-03-22 | 2008-09-25 | Qualcomm Incorporated | Bandwidth control for retrieval of reference waveforms in an audio device |
| US7807915B2 (en) | 2007-03-22 | 2010-10-05 | Qualcomm Incorporated | Bandwidth control for retrieval of reference waveforms in an audio device |
| US20090151543A1 (en) * | 2007-12-14 | 2009-06-18 | Casio Computer Co., Ltd. | Musical sound generating device and storage medium storing musical sound generation processing program |
| US8008569B2 (en) * | 2007-12-14 | 2011-08-30 | Casio Computer Co., Ltd. | Musical sound generating device and storage medium storing musical sound generation processing program |
Also Published As
| Publication number | Publication date |
|---|---|
| ATE356402T1 (de) | 2007-03-15 |
| DE602004005213D1 (de) | 2007-04-19 |
| EP1654725A1 (de) | 2006-05-10 |
| EP1654725B1 (de) | 2007-03-07 |
| US20050011341A1 (en) | 2005-01-20 |
| WO2005015537A1 (en) | 2005-02-17 |
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